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quatC = new Quaternion();\u2028float[] angles = new float[]{FastMath.HALF_PI, FastMath.PI, FastMath.PI};\u2028quat.fromAngles(angles);\u2028creates a new quaternion with a rotation of 90° around the X axis,\u2028180° around the Y axis and 180° around the Z axis"} ,{"targetRectangle":{"y":733.5, "width":94.14337, "x":921.3146, "height":26} , "text":"back to index"} ] } ,{"automaticPlay":false, "hyperlinks":[{"url":"?slide=2", "targetRectangle":{"y":733.5, "width":94.14337, "x":921.3146, "height":26} } ] , "eventInitialStates":[{"opacity":1, "affineTransform":[1,0,0,1,0,0] , "texture":"s34.b", "hidden":0} ,{"opacity":1, "affineTransform":[1,0,0,1,0,0] , "texture":"s34.a", "hidden":0} ] , "eventAnimations":[{"effect":"none", "actions":[{"beginTime":0, "from":{"scalar":1} , "action":"hidden", "texture":"s34.a", "to":{"scalar":1} , "timingFunction":"linear", "duration":0.001} ] , "duration":0.001, "animationType":"transition", "beginTime":0, "textures":["s34.a"] } ,{"effect":"none", 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,{"targetRectangle":{"y":443, "width":312, "x":174, "height":61} , "text":"the length of the vector is 1"} ,{"targetRectangle":{"y":504, "width":500, "x":174, "height":31} , "text":"quatC rotated vectorA -90° around the z axis"} ,{"targetRectangle":{"y":223.5, "width":85.51373, "x":559.6292, "height":54} , "text":"vectorB =\n1, 0, 0"} ,{"targetRectangle":{"y":287.0111, "width":180.0691, "x":512, "height":3.051758e-05} , "text":""} ,{"targetRectangle":{"y":733.5, "width":94.14337, "x":921.3146, "height":26} , "text":"back to index"} ,{"targetRectangle":{"y":127, "width":63.89398, "x":795.4393, "height":31} , "text":"Z -90°"} ,{"targetRectangle":{"y":77, "width":155, "x":726, "height":132} , "text":""} ,{"targetRectangle":{"y":214, "width":55.00391, "x":775.8843, "height":31} , "text":"quatC"} ] } ,{"automaticPlay":false, "hyperlinks":[] , "eventInitialStates":[{"opacity":1, "affineTransform":[1,0,0,1,0,0] , "texture":"s53.b", "hidden":0} ,{"opacity":1, "affineTransform":[1,0,0,1,0,0] , 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need them"} ,{"targetRectangle":{"y":555, "width":713, "x":174, "height":90} , "text":"The lookAt method allows to do this easily (see next chapter)"} ] } ,{"automaticPlay":false, "hyperlinks":[{"url":"?slide=2", "targetRectangle":{"y":733.5, "width":94.14337, "x":921.3146, "height":26} } ] , "eventInitialStates":[{"opacity":1, "affineTransform":[1,0,0,1,0,0] , "texture":"s54.b", "hidden":0} ,{"opacity":1, "affineTransform":[1,0,0,1,0,0] , "texture":"s54.a", "hidden":0} ] , "eventAnimations":[{"effect":"none", "actions":[{"beginTime":0, "from":{"scalar":1} , "action":"hidden", "texture":"s54.a", "to":{"scalar":1} , "timingFunction":"linear", "duration":0.001} ] , "duration":0.001, "animationType":"transition", "beginTime":0, "textures":["s54.a"] } ,{"effect":"none", "actions":[{"beginTime":0, "from":{"scalar":0} , "action":"hidden", "texture":"s54.b", "to":{"scalar":0} , "timingFunction":"linear", "duration":0.001} ] , "duration":0.001, "animationType":"transition", "beginTime":0, "textures":["s54.b"] } ] , "textRegions":[{"targetRectangle":{"y":215, "width":410, "x":307, "height":92} , "text":"Using lookAt"} ,{"targetRectangle":{"y":414, "width":508, "x":258, "height":45} , "text":"creating rotations from vectors"} ,{"targetRectangle":{"y":733.5, "width":94.14337, "x":921.3146, "height":26} , "text":"back to index"} ] } ,{"automaticPlay":false, "hyperlinks":[{"url":"?slide=2", "targetRectangle":{"y":733.5, "width":94.14337, "x":921.3146, "height":26} } ] , "eventInitialStates":[{"opacity":1, "affineTransform":[1,0,0,1,0,0] , "texture":"s55.b", "hidden":0} ,{"opacity":1, "affineTransform":[1,0,0,1,0,0] , "texture":"s55.a", "hidden":0} ] , "eventAnimations":[{"effect":"none", "actions":[{"beginTime":0, "from":{"scalar":1} , "action":"hidden", "texture":"s55.a", "to":{"scalar":1} , "timingFunction":"linear", "duration":0.001} ] , "duration":0.001, "animationType":"transition", "beginTime":0, "textures":["s55.a"] } ,{"effect":"none", "actions":[{"beginTime":0, "from":{"scalar":0} , "action":"hidden", "texture":"s55.b", "to":{"scalar":0} , "timingFunction":"linear", "duration":0.001} ] , "duration":0.001, "animationType":"transition", "beginTime":0, "textures":["s55.b"] } ] , "textRegions":[{"targetRectangle":{"y":24, "width":808, "x":112, "height":184} , "text":"Using lookAt to create a Quaternion"} ,{"targetRectangle":{"y":270, "width":662, "x":217, "height":120} , "text":"lookAt creates a quaternion from an up vector and a look direction"} ,{"targetRectangle":{"y":390, "width":703, "x":217, "height":165} , "text":"the resulting quaternion rotates a vector that is perpendicular to the up vector into the direction of the direction vector"} ,{"targetRectangle":{"y":555, "width":698, "x":217, "height":90} , "text":"lookAt is mainly used for rotating spatials where y = up and z = forward"} ,{"targetRectangle":{"y":733.5, "width":94.14337, "x":921.3146, "height":26} , "text":"back to index"} ] } ,{"automaticPlay":0, 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"targetRectangle":{"y":652, "width":191.1248, "x":415.8237, "height":31} } ] , "eventInitialStates":[{"opacity":1, "affineTransform":[1,0,0,1,0,0] , "texture":"s63.b", "hidden":0} ,{"opacity":1, "affineTransform":[1,0,0,1,0,0] , "texture":"s63.a", "hidden":0} ] , "eventAnimations":[{"effect":"none", "actions":[{"beginTime":0, "from":{"scalar":1} , "action":"hidden", "texture":"s63.a", "to":{"scalar":1} , "timingFunction":"linear", "duration":0.001} ] , "duration":0.001, "animationType":"transition", "beginTime":0, "textures":["s63.a"] } ,{"effect":"none", "actions":[{"beginTime":0, "from":{"scalar":0} , "action":"hidden", "texture":"s63.b", "to":{"scalar":0} , "timingFunction":"linear", "duration":0.001} ] , "duration":0.001, "animationType":"transition", "beginTime":0, "textures":["s63.b"] } ] , "textRegions":[{"targetRectangle":{"y":70, "width":784, "x":120, "height":92} , "text":"So much for the basics.."} ,{"targetRectangle":{"y":272, "width":900, "x":62, "height":223} , "text":"Thank you for reading,\u2028I hope this gave you a good start into jME3 math,\u2028any input is very welcome - Normen\nBack to the index\nMath section of our wiki"} ,{"targetRectangle":{"y":652, "width":191.1248, "x":415.8237, "height":31} , "text":"(c) jMonkeyEngine.com"} ] } ] , "loopSlideshow":0, "showMode":0, "majorVersion":0, "notes":{} , "creator":"Apple Keynote 5.2", "author":"", "comment":"", "pageCount":63, "scalefactor480":0.3310547, "slideCount":63}